Abstract
The smallest size of components in random decomposable combinatorial structures is studied in a general framework. Our results include limit distribution and local theorems for the size of therth smallest component of an object of sizen. Expectation, variance and higher moments of therth smallest component are also derived. The results apply to several combinatorial structures in the exp-log class for both labelled and unlabelled objects. We exemplify with several combinatorial structures like permutations and polynomials over finite fields.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
